ChurchRosser Theorem
<theory> A property of a reduction system that states that if an
expression can be reduced by zero or more reduction steps to either expression M
or expression N then there exists some other expression to which both M and N
can be reduced. This implies that there is a unique normal form for any
expression since M and N cannot be different normal forms because the theorem
says they can be reduced to some other expression and normal forms are
irreducible by definition. It does not imply that a normal form is reachable,
only that if reduction terminates it will reach a unique normal form.
(19950125)
Nearby terms:
Church, Alonzo « Church integer « Church of the
SubGenius «
ChurchRosser Theorem » ci » CI$ » CICERO
